功能梯度压电层/压电半空间结构中Love波的传播:一种改进的拉盖尔多项式方法

使用传统的拉盖尔多项式方法求解层状半空间结构时,存在因层间材料差异所造成的应力、电位移不连续的现象。为了克服此方法的不足,提出了一种改进的拉盖尔多项式方法,研究了功能梯度压电层状半空间中Love波的传播特性。与文献中应用WKB法得到的结果进行对比,验证了该方法的正确性。计算和分析了相应的频散曲线、应力和电位移分布曲线。结果表明:该方法能够避免因层间材料差异所造成的应力、电位移不连续现象的出现;高频Love波的应力和电位移主要分布在功能梯度压电层中速度较低的一侧。该研究为基于Love波传感器的设计与优化奠定了一定的理论基础。

Propagation of Love waves in the functionally graded piezoelectric layer/piezoelectric half-space: an improved Laguerre polynomial approach

The discontinuous phenomenon of stress and electric displacement caused by the material differences between layers appears when the conventional Laguerre polynomial approach is used to solve the problem of layered half-space structures. To overcome this shortcoming, an improved Laguerre polynomial approach is proposed to investigate the propagation characteristics of Love waves in functionally graded piezoelectric layered half-spaces. By comparison with the results of WKB method published in the literature, the validity of the improved approach is verified. The corresponding dispersion curves, stress and electric displacement profiles are calculated and analyzed. The results show that the improved approach can avoid the above-mentioned discontinuous phenomenon. The stress and electric displacement of the high frequency Love waves mainly distribute on the side of low velocity material in the functionally graded piezoelectric layer. The study in this paper lays a theoretical basis for the design and optimization of Love wave sensors.